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Simplify (((3xy^-5)^3)/((x^-2y^2)^-4))
Step 1
Remove parentheses.
Step 2
Move to the
numerator
using the negative
exponent
rule .
Step 3
Rewrite the
expression
using the negative
exponent
rule .
Step 4
Multiply
.
Combine
and .
Combine
and .
Step 5
Move to the left of .
Step 6
Use the
power rule
to distribute the
exponent
.
Apply the
product rule
to .
Apply the
product rule
to .
Step 7
Raise to the
power
of .
Step 8
Multiply
the
exponents
in .
Apply the
power rule
and
multiply
exponents
, .
Multiply
by .
Step 9
Rewrite the
expression
using the negative
exponent
rule .
Step 10
Combine
and .
Step 11
Apply the
product rule
to .
Step 12
Combine
.
Step 13
Apply basic rules of
exponents
.
Multiply
the
exponents
in .
Apply the
power rule
and
multiply
exponents
, .
Multiply
by .
Multiply
the
exponents
in .
Apply the
power rule
and
multiply
exponents
, .
Multiply
by .
Step 14
Cancel the
common factor
of and .
Factor
out of .
Cancel the
common factors
.
Factor
out of .
Cancel the
common factor
.
Rewrite the
expression
.
Step 15
Cancel the
common factor
of and .
Factor
out of .
Cancel the
common factors
.
Factor
out of .
Cancel the
common factor
.
Rewrite the
expression
.
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